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117220238192961 = 3438361321412879
BaseRepresentation
bin11010101001110001110110…
…101010000111000101000001
3120101001010220221112011120000
4122221301312222013011001
5110331014021434133321
61053150122314110213
733455611530526101
oct3251616652070501
9511033827464500
10117220238192961
1134393907597642
121119209871b369
135053a89a61057
1420d36c0025201
15d84279ea2826
hex6a9c76a87141

117220238192961 has 80 divisors (see below), whose sum is σ = 175993618268160. Its totient is φ = 77752275477120.

The previous prime is 117220238192921. The next prime is 117220238192971. The reversal of 117220238192961 is 169291832022711.

117220238192961 is a `hidden beast` number, since 1 + 1 + 72 + 20 + 2 + 381 + 92 + 96 + 1 = 666.

It is not a de Polignac number, because 117220238192961 - 234 = 117203058323777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 117220238192898 and 117220238192907.

It is not an unprimeable number, because it can be changed into a prime (117220238192921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40715607520 + ... + 40715610398.

It is an arithmetic number, because the mean of its divisors is an integer number (2199920228352).

Almost surely, 2117220238192961 is an apocalyptic number.

It is an amenable number.

117220238192961 is a deficient number, since it is larger than the sum of its proper divisors (58773380075199).

117220238192961 is a wasteful number, since it uses less digits than its factorization.

117220238192961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6028 (or 6019 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 117220238192961 in words is "one hundred seventeen trillion, two hundred twenty billion, two hundred thirty-eight million, one hundred ninety-two thousand, nine hundred sixty-one".

Divisors: 1 3 9 27 81 383 613 1149 1839 2141 2879 3447 5517 6423 8637 10341 16551 19269 25911 31023 49653 57807 77733 173421 233199 234779 704337 820003 1102657 1312433 1764827 2113011 2460009 3307971 3937299 5294481 6163939 6339033 7380027 9923913 11811897 15883443 18491817 19017099 22140081 29771739 35435691 47650329 55475451 66420243 89315217 106307073 142950987 166426353 499279059 502661839 675928741 1507985517 2027786223 2360788637 3778494607 4523956551 6083358669 7082365911 11335483821 13571869653 18250076007 21247097733 34006451463 40715608959 54750228021 63741293199 102019354389 191223879597 306058063167 1447163434481 4341490303443 13024470910329 39073412730987 117220238192961